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20956005 = 325771937
BaseRepresentation
bin100111111110…
…0001101100101
31110102200020100
41033330031211
520331043010
62025054313
7343060140
oct117741545
943380210
1020956005
1110913614
127027399
134459605
142ad7057
151c8e2c0
hex13fc365

20956005 has 48 divisors (see below), whose sum is σ = 42142464. Its totient is φ = 9434880.

The previous prime is 20956003. The next prime is 20956021. The reversal of 20956005 is 50065902.

It is not a de Polignac number, because 20956005 - 21 = 20956003 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20956005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20956003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21897 + ... + 22833.

It is an arithmetic number, because the mean of its divisors is an integer number (877968).

Almost surely, 220956005 is an apocalyptic number.

It is an amenable number.

20956005 is an abundant number, since it is smaller than the sum of its proper divisors (21186459).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20956005 is a wasteful number, since it uses less digits than its factorization.

20956005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 20956005 is about 4577.7729301485. The cubic root of 20956005 is about 275.6996180653.

It can be divided in two parts, 2095 and 6005, that added together give a square (8100 = 902).

The spelling of 20956005 in words is "twenty million, nine hundred fifty-six thousand, five".

Divisors: 1 3 5 7 9 15 21 35 45 63 71 105 213 315 355 497 639 937 1065 1491 2485 2811 3195 4473 4685 6559 7455 8433 14055 19677 22365 32795 42165 59031 66527 98385 199581 295155 332635 465689 598743 997905 1397067 2328445 2993715 4191201 6985335 20956005